Measures of Variability Answers

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Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.

Question illustration
A
The median is 2 people per residence.
B
The median is 2.5 people per residence.
C
The median is 2.8 people per residence.
D
The median is 3.5 people per residence.
4

Twelve people were surveyed and asked how many people live in their residence. The results are summarized in the table below.

Question illustration
A
2.0 people per residence
B
2.5 people per residence
C
2.8 people per residence
D
3.5 people per residence
7

In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores have been tossed out. Nikita’s scores on the floor routine from all of the judges are shown below.7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00

A
Her score does not change.
B
Her score is lower after removing the highest and lowest scores.
C
Her score is higher after removing the highest and lowest scores.
D
There is not enough information to determine if her score increases or decreases.
8

IQ scores are collected from a sample of 36 students at a large university. The scores are summarized in the histogram below.

Question illustration
A
The mean is equal to the median IQ.
B
The mean is less than the median IQ.
C
The mean is greater than the median IQ.
D
It cannot be determined because we cannot tell the exact values of the IQ scores in the sample.
9

The distribution of ages of runners in a marathon is approximately normal. The oldest participant was 80 and the youngest was 13. Which of the following statements is true of the mean and median ages of the runners?

A
The mean is less than the median.
B
The mean is greater than the median.
C
The mean and median are approximately equal.
D
The actual ages of all runners are needed to decide.

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